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0 1 10 0 2 6 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 192 "This type of fixed point is called a \"center\", it happens when eigenvalues are complex and purely imaginary. Notice similarity betw een this and the glider model for R=0 near the fixed point." }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "C:= [ [.1, 1] , [-1, .2] ]; " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"CG7$7$$\"\"\"!\"\"F(7$F)$\"\"# F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "eigenvals(C);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$^$$\"+++++:!#5$\"+y@\\()**F&^$F$$!+y@ \\()**F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 143 "DEplot( [ D(x) (t) = .1*x + y, D(y)(t)=-x+.2*y], [x,y], t=-1...20,\n [ [x(0)=1, y(0) =.2] ], x=-2...2, y=-2...2, linecolor=blue,\n stepsize=0.1);" }} {PARA 7 "" 1 "" {TEXT -1 172 "Warning, x is present as both a dependen t variable and a name. Inconsistent specification of the dependent var iable is deprecated, and will be removed in the next release.\n" }} {PARA 7 "" 1 "" {TEXT -1 172 "Warning, y is present as both a dependen t variable and a name. 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If rea l part negative, \"spiral sink\".\n" }}}}{MARK "12 0 0" 110 } {VIEWOPTS 1 1 0 2 1 1805 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }